The owner of a small restaurant needs to move a table in order to have space for a new display. Ordinarily, a lamp of mass m is hanging over the table, suspended from a string attached to the ceiling. With the table in a new position, the lamp needs to be moved. To this end, the owner attaches a second string to the lamp and runs the string horizontally to the wall. (a) Draw a free body diagram. (b) Derive an expression for the tension in the horizontal string. Your answer should be in terms of m, g, and the angle (theta).
The Attempt at a Solution
I've gotten as far as Ft+Fg=ma, but I'm not at all confident in that equation, and I feel a lot of trepidation in attempting to go forward from here.